QuestionQuestion 9 (1 point) Evaluate the indicated function for $f(x)=x^{2}+6$ and $g(x)=x-5$. $$(f / g)(-4)-g(6)$$ a $\quad-\frac{5}{26}$ b $-\frac{9}{13}$ c $\quad-\frac{31}{9}$ d $\quad-\frac{13}{9}$ e $\quad-\frac{9}{31}$

Studdy Solution
Simplify the expression:
$$(f / g)(-4) - g(6) = -\frac{22}{9} - \frac{9}{9}$$ $$(f / g)(-4) - g(6) = -\frac{22 + 9}{9}$$ $$(f / g)(-4) - g(6) = -\frac{31}{9}$$
The value of the expression is:
$$\boxed{-\frac{31}{9}}$$